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323141440440 = 233571329591707
BaseRepresentation
bin1001011001111001011…
…10110001001110111000
31010220002021122000010210
410230330232301032320
520243243202043230
6404241002311120
732226513631620
oct4547456611670
91126067560123
10323141440440
11115052a11a95
12527634b84a0
132461a2b0930
14118d672b880
15861410beb0
hex4b3cbb13b8

323141440440 has 128 divisors (see below), whose sum is σ = 1193137666560. Its totient is φ = 68179290624.

The previous prime is 323141440387. The next prime is 323141440469. The reversal of 323141440440 is 44044141323.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 323141440398 and 323141440407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14784934 + ... + 14806773.

It is an arithmetic number, because the mean of its divisors is an integer number (9321388020).

Almost surely, 2323141440440 is an apocalyptic number.

323141440440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323141440440 is an abundant number, since it is smaller than the sum of its proper divisors (869996226120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323141440440 is a wasteful number, since it uses less digits than its factorization.

323141440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29591741 (or 29591737 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 323141440440 its reverse (44044141323), we get a palindrome (367185581763).

The spelling of 323141440440 in words is "three hundred twenty-three billion, one hundred forty-one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 29591707 59183414 88775121 118366828 147958535 177550242 207141949 236733656 295917070 355100484 384692191 414283898 443875605 591834140 621425847 710200968 769384382 828567796 887751210 1035709745 1154076573 1183668280 1242851694 1538768764 1657135592 1775502420 1923460955 2071419490 2308153146 2485703388 2692845337 3077537528 3107129235 3551004840 3846921910 4142838980 4616306292 4971406776 5385690674 5770382865 6214258470 7693843820 8078536011 8285677960 9232612584 10771381348 11540765730 12428516940 13464226685 15387687640 16157072022 21542762696 23081531460 24857033880 26928453370 32314144044 40392680055 46163062920 53856906740 64628288088 80785360110 107713813480 161570720220 323141440440